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Finding the Third Proportional to 6,724.50 and 10,230.75

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Solution

The third proportional to 6,724.50 and 10,230.75 is: 15,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.50 : 10,230.75 = 10,230.75 : x
  2. Step 2: Convert to fraction form
    6,724.50/10,230.75 = 10,230.75/x
  3. Step 3: Cross multiply
    6,724.50x = 10,230.75 × 10,230.75
  4. Step 4: Simplify right side
    6,724.50x = 104,668,245.56
  5. Step 5: Solve for x
    x = 104,668,245.56/6,724.50
  6. Step 6: Final answer
    x = 15,565.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.